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2 years ago

15

Find the value of the variable. Leave in simplest radical form.

1 answer:

Mademuasel [1]2 years ago

8 0

If the hypotenuse is equal to 11, then we can plug it into the Pythagorean theorem. So we get a^2+x^2=121. So we take the square root of both sides, sqrt(a^2+x^2)=11. So we take a^2 and x^2 out of the square root. We get a+x=11. So now we have two equations, a+x=11 and a^2+x^2=121. I’ll leave the rest of solving equations to you.

Hint: a=11-x
You can plug that into a^2+x^2=121

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A study indicates that 37% of students have laptops. You randomly sample 30 students. Find the mean and the standard deviation o

Brilliant_brown [7]

Answer:

The mean and the standard deviation of the number of students with laptops are 1.11 and 0.836 respectively.

Step-by-step explanation:

Let <em>X</em> = number of students who have laptops.

The probability of a student having a laptop is, P (X) = <em>p</em> = 0.37.

A random sample of <em>n</em> = 30 students is selected.

The event of a student having a laptop is independent of the other students.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The mean and standard deviation of a binomial random variable <em>X</em> are:

$\mu=np\\\sigma=\sqrt{np(1-p)}$

Compute the mean of the random variable <em>X</em> as follows:

$\mu=np=30\times0.37=1.11$

The mean of the random variable <em>X</em> is 1.11.

Compute the standard deviation of the random variable <em>X</em> as follows:

$\sigma=\sqrt{np(1-p)}=\sqrt{30\times0.37\times(1-0.37)}=\sqrt{0.6993}=0.836$

The standard deviation of the random variable <em>X</em> is 0.836.

5 0

2 years ago

The radius of a clock face is 8.5 centimeters. what is circumfe0rence of clock?

kondor19780726 [428]

Answer:

The circumference of clock is, 53.38 cm

Step-by-step explanation:

Circumference(C) of the circle is given by:

$C = 2 \pi r$ ....[1]

where, r is the radius of the circle.

As per the statement:

the radius of a clock face is 8.5 centimeters

⇒r = 8.5 cm

Use $\pi = 3.14$

Substitute the given values in [1] we have;

$C = 2 \cdot 3.14 \cdot 8.5$

Simplify:

C = 53.38 cm

Therefore, the circumference of clock is, 53.38 cm

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2 years ago

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BabaBlast [244]

Link !!

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2 years ago

Jian Hui can do 14 pages of homework every 3 hours. How many pages can he finish if he works from 8pm to 11pm?

kvv77 [185]

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1 year ago

The perimeter of a regular hexagon is 84 cm. What is the length of one side?

bonufazy [111]

Answer:

14cm

Step-by-step explanation:

As we know , hexagon has six sides .

so ,

We will divide the number of sides by the total perimeter to obtain the length of one side :

_____________________

Hexagon = 6 sides .

Length of one side of hexagon would be = 84/6

=> 14 cm

3 0

2 years ago

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